A general Fourier formulation for vibration analysis of functionally graded sandwich beams with arbitrary boundary condition and resting on elastic foundations

[1]  G. Jin,et al.  Free vibration analysis of laminated composite and functionally graded sector plates with general boundary conditions , 2015 .

[2]  Guoyong Jin,et al.  A series solution for the vibrations of composite laminated deep curved beams with general boundaries , 2015 .

[3]  Zhuang Wang,et al.  Analytical and experimental study of free vibration of beams carrying multiple masses and springs , 2014 .

[4]  Alireza Maheri,et al.  Finite element model for vibration and buckling of functionally graded sandwich beams based on a refined shear deformation theory , 2014 .

[5]  Zhu Su,et al.  A unified solution for vibration analysis of functionally graded cylindrical, conical shells and annular plates with general boundary conditions , 2014 .

[6]  S. Chakraverty,et al.  Free vibration of Euler and Timoshenko functionally graded beams by Rayleigh–Ritz method , 2013 .

[7]  Tinh Quoc Bui,et al.  Dynamic analysis of sandwich beams with functionally graded core using a truly meshfree radial point interpolation method , 2013 .

[8]  M. Kargarnovin,et al.  Dynamic analysis of a functionally graded simply supported Euler–Bernoulli beam subjected to a moving oscillator , 2013 .

[9]  Huu-Tai Thai,et al.  Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories , 2012 .

[10]  Gaetano Giunta,et al.  Hierarchical theories for the free vibration analysis of functionally graded beams , 2011 .

[11]  D. Kelly,et al.  Thermal buckling and elastic vibration of third-order shear deformable functionally graded beams , 2011 .

[12]  Reza Attarnejad,et al.  Free vibration and stability analysis of axially functionally graded tapered Timoshenko beams with classical and non-classical boundary conditions , 2011 .

[13]  N. Khaji,et al.  Analytical solutions for free and forced vibrations of a multiple cracked Timoshenko beam subject to a concentrated moving load , 2011 .

[14]  Sid Ahmed Meftah,et al.  Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section , 2011 .

[15]  F. F. Mahmoud,et al.  Free vibration characteristics of a functionally graded beam by finite element method , 2011 .

[16]  A. Zenkour,et al.  Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak’s elastic foundations , 2010 .

[17]  M. Şi̇mşek,et al.  Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories , 2010 .

[18]  S.M.R. Khalili,et al.  Free vibration analysis of sandwich beams using improved dynamic stiffness method , 2010 .

[19]  Omid Rahmani,et al.  Free vibration analysis of sandwich structures with a flexible functionally graded syntactic core , 2009 .

[20]  S. Khalili,et al.  Free vibration analysis of sandwich beam with FG core using the element free Galerkin method , 2009 .

[21]  Tony Murmu,et al.  Thermo-mechanical vibration of FGM sandwich beam under variable elastic foundations using differential quadrature method , 2009 .

[22]  Hassan Haddadpour,et al.  An analytical method for free vibration analysis of functionally graded beams , 2009 .

[23]  Xian‐Fang Li,et al.  A unified approach for analyzing static and dynamic behaviors of functionally graded Timoshenko and Euler–Bernoulli beams , 2008 .

[24]  Hsin-Yi Lai,et al.  An innovative eigenvalue problem solver for free vibration of Euler-Bernoulli beam by using the Adomian decomposition method , 2008, Comput. Math. Appl..

[25]  B. Sankar,et al.  Analytical Modeling of Sandwich Beams with Functionally Graded Core , 2008 .

[26]  R. Xu,et al.  Semi-analytical elasticity solutions for bi-directional functionally graded beams , 2008 .

[27]  J. R. Banerjee,et al.  Free vibration of a three-layered sandwich beam using the dynamic stiffness method and experiment , 2007 .

[28]  Anders Nilsson,et al.  Modelling the vibration of sandwich beams using frequency-dependent parameters , 2007 .

[29]  J. R. Banerjee,et al.  Dynamic stiffness formulation and free vibration analysis of a three-layered sandwich beam , 2005 .

[30]  Srinivasan Gopalakrishnan,et al.  A higher-order spectral element for wave propagation analysis in functionally graded materials , 2004 .

[31]  Chaofeng Lü,et al.  A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation , 2004 .

[32]  W. L. Li.  Vibration analysis of rectangular plates with general elastic boundary supports , 2004 .

[33]  Vladimir S. Sokolinsky,et al.  Analytical and Experimental Study of Free Vibration Response of Soft-core Sandwich Beams , 2004 .

[34]  Weiqiu Chen,et al.  Free vibration analysis of generally laminated beams via state-space-based differential quadrature , 2004 .

[35]  Srinivasan Gopalakrishnan,et al.  A spectrally formulated finite element for wave propagation analysis in functionally graded beams , 2003 .

[36]  J. N. Reddy,et al.  A new beam finite element for the analysis of functionally graded materials , 2003 .

[37]  J. R. Banerjee,et al.  Free vibration of sandwich beams using the dynamic stiffness method , 2001 .

[38]  Jean Nicolas,et al.  A HIERARCHICAL FUNCTIONS SET FOR PREDICTING VERY HIGH ORDER PLATE BENDING MODES WITH ANY BOUNDARY CONDITIONS , 1997 .

[39]  David P. Thambiratnam,et al.  Free vibration analysis of beams on elastic foundation , 1996 .

[40]  P. V. Raman,et al.  Free vibration of rectangular beams of arbitrary depth , 1979 .